Vector Parallelogram Area Integer Pair (Jee Mains) | ExamDuo
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Scalar and Vector Products
Medium
Vector Parallelogram Area Integer Pair
Let
→
a
=
2
^
i
+
α
^
j
+
^
k
,
→
b
=
−
^
i
+
^
k
,
→
c
=
β
^
j
−
^
k
, where
α
and
β
are integers and
α
β
=
−
6
. Let the values of the ordered pair
(
α
,
β
)
for which the area of the parallelogram of diagonals
→
a
+
→
b
and
→
b
+
→
c
is
√
21
2
, be
(
α
1
,
β
1
)
and
(
α
2
,
β
2
)
.
Then
α
1
2
+
β
1
2
−
α
2
β
2
is equal to
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SELECT ONE OPTION
A
17
B
24
C
21
D
19
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